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Oksanka [162]
3 years ago
5

How do I solve 8(v+2)-4v=2(2v+1)-6

Mathematics
2 answers:
ZanzabumX [31]3 years ago
6 0
Distributive property
aliina [53]3 years ago
5 0
8(v+2)-4v=2(2v+1)-6
8v+16-4v=4v+1-6
12v+16-4v=1-6
8v+16=1-6
8v+16=-5
8v=-5-16
8v=21
v=3
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Describe and correct the error in finding csc θ, given that θ is an acute angle of a right triangle and cos θ =7/11
a_sh-v [17]

Answer:

<h2>cosecθ = 1/sinθ = 11/6√2</h2>

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

hyp^{2} = adj^{2}  + opp ^{2}  \\opp = \sqrt{hyp^{2} - adj^{2}  } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ\neq 1/cosθ but cscθ = 1/sinθ

6 0
3 years ago
A classroom has a length of 30 ft. and a width of 20 ft. The flooring is to be replaced by tiles. If each tile has a length of 3
Mashcka [7]

Answer:

100

Step-by-step explanation:

Hello! to calculate the number of tiles needed for the floor you need two things

1. number of tiles that fit across the width, this is achieved by dividing the total width by the width of each tile

Width=20ft=240in

N1=\frac{240}{24} =10

2.number of tiles that fit in the logitude, this is achieved by dividing the total length by the length of each tile.

leght=30ft=360in

N2=\frac{360}{36} =10

Finally, you multiply the number of tiles that fit in width by the number of tiles that fit in length.

N=10X10=100

3 0
3 years ago
What is the solution set of y = x2 2x 7 and y = x 7
Anna71 [15]
Hello,

y=x²+2x+7
y=x+7

==>x²+2x+7=x+7
==>x²+x=0
==>x(x+1)=0
==>(x=0 and y=7) or (x=-1 and y=-1+7=6)

Sol={(0,7),(-1,6)}

8 0
4 years ago
Read 2 more answers
A sum of Rs.750 is in the form of denominations of Rs.50 and Rs.100. If the number of 100-rupee notes is twice the number of 50-
Naddik [55]

Answer:

100 rupee notes= 6, 50 rupee notes=3

Step-by-step explanation:

3 x 50 = 150

6 x 100 = 600

600 + 150 = 750

and 3 x 2 = 6, so the amount of 100 rupee notes are twice the amount of 50 rupee notes.

Hope this helps :)

5 0
3 years ago
Write 12 as a product of its prime factors ​
Minchanka [31]

Answer:

the Prime Factors of 12 are: 2, 2, 3.

Step-by-step explanation:

Therefore 12 = 2 X 2 X 3.

6 0
3 years ago
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